List of top Electromagnetic Theory Questions on Faraday's Law

An electric field of 0.01 V/m is applied along the length of a copper wire of circular cross-section with diameter 1 mm. Copper has a conductivity of \( 5.8 \times 10^7 \, {S/m} \). The current (in Amperes, rounded off to two decimal places) flowing through the wire is _________.

Two resistors are connected in a circuit loop of area 5 m\(^2\), as shown in the figure below. The circuit loop is placed on the \( x-y \) plane. When a time-varying magnetic flux, with flux-density \( B(t) = 0.5t \) (in Tesla), is applied along the positive \( z \)-axis, the magnitude of current \( I \) (in Amperes, rounded off to two decimal places) in the loop is (answer in Amperes).


 

Two resistors are connected in a circuit loop of area 5 m\(^2\), as shown in the figure below. The circuit loop is placed on the \( x-y \) plane. When a time-varying magnetic flux, with flux-density \( B(t) = 0.5t \) (in Tesla), is applied along the positive \( z \)-axis, the magnitude of current \( I \) (in Amperes, rounded off to two decimal places) in the loop is (answer in Amperes).
 

Match List I with List II

List I

List II 

AFaraday's law I$\bigtriangledown -\bar{B}=0 $
BAmpere's lawII$\bigtriangledown -\bar{D}=\rho_v $
CNo monopole III$\bigtriangledown -\bar{H}=\bar{J}+\frac{\partial\bar{D} }{\partial t} $
DGauss's law IV$\bigtriangledown -\bar{E}=-\frac{\partial\bar{B} }{\partial t} $
Choose the correct answer from the options given below: